A, B & C lie on a straight line. D, C & E lie on a different straight line.
Angle
y
= 106° and angle
z
= 64°.
Work out
x
, explaining each stage of your working in the comment box.

Step-by-step explanation:

A, B & C lie on a straight line.

D, C & E lie on a different straight line.

Ah, this is 2 intersecting lines

angles

y

= 106° and angle

z

= 64°.

well we know that a full size of circle is 360 degrees

let's add z and y :

106+64 = 170

then, let's subtract it from 360

360 - 170 = 90

we must devide it by 2, why? because 90 is from two section of x (2x)

so 90/2 = 45

and there you have it x = 45

if you still cannot visualize what is intersecting line mean, then see the file below

40 is the final : )